- Title
- Fuzzy subsethood for fuzzy sets of type-2 and generalized type-n
- Creator
- Rickard, John T. (Terry); Aisbett, Janet; Gibbon, Greg
- Relation
- IEEE Transactions on Fuzzy Systems Vol. 17, Issue 1, p. 50-60
- Publisher Link
- http://dx.doi.org/10.1109/tfuzz.2008.2006369
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- journal article
- Date
- 2009
- Description
- In this paper, we use Zadeh's extension principle to extend Kosko's definition of the fuzzy subsethood measure S(G, H) to type-2 fuzzy sets defined on any set X equipped with a measure. Subsethood is itself a fuzzy set that is a crisp interval when G and H are interval type-2 sets. We show how to compute this interval and then use the result to compute subsethood for general type-2 fuzzy sets. A definition of subsethood for arbitrary fuzzy sets of type-n > 2 is then developed. This subsethood is a type-(n - 1) fuzzy set, and we provide a procedure to compute subsethood of interval type-3 fuzzy sets.
- Subject
- fuzzy inference; fuzzy measures; fuzzy sets; fuzzy subsethood; type-2 fuzzy sets; type-n fuzzy sets
- Identifier
- http://hdl.handle.net/1959.13/916192
- Identifier
- uon:7917
- Identifier
- ISSN:1063-6706
- Language
- eng
- Reviewed
- Hits: 2100
- Visitors: 2247
- Downloads: 0
| Thumbnail | File | Description | Size | Format |
|---|